Numerical Integrators for Mechanical Systems on Lie Groups
Fuente:
arXiv
Saved in:
| Main Authors: | Vivek, Viyom, de Diego, David Martin, Banavar, Ravi N |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Geometric Integrators for Nonholonomic Systems on Lie Groups
by: Vivek, Viyom, et al.
Published: (2026)
by: Vivek, Viyom, et al.
Published: (2026)
Discrete variational calculus for double-bracket dissipation
by: Bloch, Anthony, et al.
Published: (2026)
by: Bloch, Anthony, et al.
Published: (2026)
Product Of Exponentials (POE) Splines on Lie-Groups: Limitations, Extensions, and Application to SO(3) and SE(3)
by: Mueller, Andreas
Published: (2025)
by: Mueller, Andreas
Published: (2025)
Numerical calculation method for function integration on submanifolds of $\mathbb{R}^n$ or compact Riemannian manifolds
by: Deng, Fusheng, et al.
Published: (2024)
by: Deng, Fusheng, et al.
Published: (2024)
Lie Group Variational Integrator for the Geometrically Exact Rod with Circular Cross-Section Incorporating Cross-Sectional Deformation
by: Siddharth, Srishti, et al.
Published: (2026)
by: Siddharth, Srishti, et al.
Published: (2026)
Investigation of the Estimation Accuracy of 5 Different Numerical ODE Solvers on 3 Case Studies
by: Moradi, Hamidreza, et al.
Published: (2025)
by: Moradi, Hamidreza, et al.
Published: (2025)
Lie group foliations: Dynamical systems and integrators
by: McLachlan, Robert I., et al.
Published: (2002)
by: McLachlan, Robert I., et al.
Published: (2002)
Local Universal Splitting Integrators for Contact Hamiltonian Systems
by: Kevrekidis, George A
Published: (2026)
by: Kevrekidis, George A
Published: (2026)
Retraction maps in optimal control of nonholonomic systems
by: Simoes, Alexandre Anahory, et al.
Published: (2025)
by: Simoes, Alexandre Anahory, et al.
Published: (2025)
Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators
by: Cabrera, Alejandro, et al.
Published: (2024)
by: Cabrera, Alejandro, et al.
Published: (2024)
A Discrete Variational Derivation of Accelerated Methods in Optimization
by: Campos, Cédric M., et al.
Published: (2021)
by: Campos, Cédric M., et al.
Published: (2021)
Asymptotic behavior of unstable perturbations of the Fubini-Study metric in Ricci flow
by: Garfinkle, David, et al.
Published: (2024)
by: Garfinkle, David, et al.
Published: (2024)
A model-free method for discovering symmetry in differential equations
by: Kreider, Max, et al.
Published: (2025)
by: Kreider, Max, et al.
Published: (2025)
A homogeneous geometry of low-rank tensors
by: Jacobsson, Simon
Published: (2025)
by: Jacobsson, Simon
Published: (2025)
Intrinsic Finite Element Error Analysis on Manifolds with Regge Metrics, with Applications to Calculating Connection Forms
by: Gawlik, Evan S., et al.
Published: (2024)
by: Gawlik, Evan S., et al.
Published: (2024)
An Adaptive Lagrangian B-Spline Framework for Point Cloud Manifold Evolution
by: Ammad, Muhammad, et al.
Published: (2026)
by: Ammad, Muhammad, et al.
Published: (2026)
Submatrices with the best-bounded inverses: Studying $\mathds{R}^{n \times 2}$ and $\mathds{C}^{n \times 2}$
by: Nesterenko, Yuri
Published: (2024)
by: Nesterenko, Yuri
Published: (2024)
Hermite interpolation with retractions on manifolds
by: Séguin, Axel, et al.
Published: (2022)
by: Séguin, Axel, et al.
Published: (2022)
A Recursive Lie-Group Formulation for the Second-Order Time Derivatives of the Inverse Dynamics of parallel Kinematic Manipulators
by: Mueller, Andreas, et al.
Published: (2025)
by: Mueller, Andreas, et al.
Published: (2025)
A Nonlinear Extension of the Variable Projection (VarPro) Method for NURBS-based Conformal Surface Flattening
by: Miki, Masaaki
Published: (2025)
by: Miki, Masaaki
Published: (2025)
Minimal horizontal triods: Analysis and computation
by: Nürnberg, Robert, et al.
Published: (2025)
by: Nürnberg, Robert, et al.
Published: (2025)
Efficient manifold evolution algorithm using adaptive B-Spline interpolation
by: Ammad, Muhammad, et al.
Published: (2025)
by: Ammad, Muhammad, et al.
Published: (2025)
Consistent and convergent discretizations of Helfrich-type energies on general meshes
by: Degrooff, Vincent, et al.
Published: (2023)
by: Degrooff, Vincent, et al.
Published: (2023)
Wohlhart's Three-Loop Mechanism: An Overconstrained and Shaky Linkage
by: Mueller, Andreas
Published: (2025)
by: Mueller, Andreas
Published: (2025)
A Screw Approach to the Approximation of the Local Geometry of the Configuration Space and of the set of Configurations of Certain Rank of Lower Pair Linkages
by: Mueller, Andreas
Published: (2025)
by: Mueller, Andreas
Published: (2025)
Spherical Density-Equalizing Map for Genus-0 Closed Surfaces
by: Lyu, Zhiyuan, et al.
Published: (2024)
by: Lyu, Zhiyuan, et al.
Published: (2024)
Ellipsoidal Density-Equalizing Map for Genus-0 Closed Surfaces
by: Lyu, Zhiyuan, et al.
Published: (2024)
by: Lyu, Zhiyuan, et al.
Published: (2024)
A Geometric Approach to Structure-Preserving Integrators for Mechanical Systems
by: Vivek, Viyom, et al.
Published: (2026)
by: Vivek, Viyom, et al.
Published: (2026)
On projection mappings and the gradient projection method on hyperbolic space forms
by: Bergmann, Ronny, et al.
Published: (2025)
by: Bergmann, Ronny, et al.
Published: (2025)
An Efficient Implementation of Edge-Based Discretization without Forming Dual Control Volumes
by: Nishikawa, Hiroaki
Published: (2025)
by: Nishikawa, Hiroaki
Published: (2025)
Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms
by: Criscitiello, Christopher, et al.
Published: (2025)
by: Criscitiello, Christopher, et al.
Published: (2025)
The Riemannian Convex Bundle Method
by: Bergmann, Ronny, et al.
Published: (2024)
by: Bergmann, Ronny, et al.
Published: (2024)
Many facets of cohomology: Differential complexes and structure-aware formulations
by: Hu, Kaibo
Published: (2025)
by: Hu, Kaibo
Published: (2025)
Forward Dynamics of Variable Topology Mechanisms - The Case of Constraint Activation
by: Mueller, Andreas
Published: (2026)
by: Mueller, Andreas
Published: (2026)
Geometric statistics with subspace structure preservation for SPD matrices
by: Mostajeran, Cyrus, et al.
Published: (2024)
by: Mostajeran, Cyrus, et al.
Published: (2024)
A Discrete Exterior Calculus of Bundle-valued Forms
by: Braune, Theo, et al.
Published: (2024)
by: Braune, Theo, et al.
Published: (2024)
Momentum-based gradient descent methods for Lie groups
by: Campos, Cédric M., et al.
Published: (2024)
by: Campos, Cédric M., et al.
Published: (2024)
Closed Form Time Derivatives of the Equations of Motion of Rigid Body Systems
by: Mueller, Andreas, et al.
Published: (2025)
by: Mueller, Andreas, et al.
Published: (2025)
Rust Implementation of Finite Element Exterior Calculus on Coordinate-Free Simplicial Complexes
by: Wirth, Luis
Published: (2025)
by: Wirth, Luis
Published: (2025)
BGG sequences with weak regularity and applications
by: Čap, Andreas, et al.
Published: (2022)
by: Čap, Andreas, et al.
Published: (2022)
Similar Items
-
Geometric Integrators for Nonholonomic Systems on Lie Groups
by: Vivek, Viyom, et al.
Published: (2026) -
Discrete variational calculus for double-bracket dissipation
by: Bloch, Anthony, et al.
Published: (2026) -
Product Of Exponentials (POE) Splines on Lie-Groups: Limitations, Extensions, and Application to SO(3) and SE(3)
by: Mueller, Andreas
Published: (2025) -
Numerical calculation method for function integration on submanifolds of $\mathbb{R}^n$ or compact Riemannian manifolds
by: Deng, Fusheng, et al.
Published: (2024) -
Lie Group Variational Integrator for the Geometrically Exact Rod with Circular Cross-Section Incorporating Cross-Sectional Deformation
by: Siddharth, Srishti, et al.
Published: (2026)